New Graph
[4, 3, 1, 2], [3, 4, 4, 3]
π =
[1, 1, 2, 2]
δ =
[1, 1, 3, 3]
POSSIBLE RANKS
1
x
6
2
x
3
NullSpace of Δ
{1, 2, 3, 4}
Nullspace of A
[{2, 4},{1, 3}]
"<--> CC <-->"
1
.
[1, 1, 1, 1]
"R", [4, 3, 1, 2]
"B", [3, 4, 4, 3]
"Coloring", {}
Delta Rank with R :
2
vs
4
Natural Ranking, 1
vs
4
"index is"
4
2
vs
4
Delta Rank with B :
1
vs
2
Natural Ranking, 1
vs
2
"index is"
2
1
vs
2
"R has hi-est rank 4 {{1, 2, 3, 4}}"
` See graph `
2
.
[1, -1, 1, 1]
"R", [4, 4, 1, 2]
"B", [3, 3, 4, 3]
"Coloring", {2}
Delta Rank with R :
3
vs
3
Natural Ranking, 2
vs
3
"index is"
2
2
vs
2
Delta Rank with B :
2
vs
2
Natural Ranking, 2
vs
2
"index is"
2
2
vs
2
---> SYNC'D
` See graph `
3
.
[1, 1, -1, 1]
"R", [4, 3, 4, 2]
"B", [3, 4, 1, 3]
"Coloring", {3}
Delta Rank with R :
3
vs
3
Natural Ranking, 3
vs
3
"index is"
3
3
vs
3
Delta Rank with B :
2
vs
3
Natural Ranking, 2
vs
3
"index is"
2
1
vs
2
"R has hi rank 3 {{2, 3, 4}}"
` See graph `
---> SYNC'D
` See graph `
4
.
[1, 1, 1, -1]
"R", [4, 3, 1, 3]
"B", [3, 4, 4, 2]
"Coloring", {4}
Delta Rank with R :
3
vs
3
Natural Ranking, 3
vs
3
"index is"
3
3
vs
3
Delta Rank with B :
2
vs
3
Natural Ranking, 2
vs
3
"index is"
2
1
vs
2
"R has hi rank 3 {{1, 3, 4}}"
` See graph `
---> SYNC'D
` See graph `
5
.
[1, -1, -1, 1]
"R", [4, 4, 4, 2]
"B", [3, 3, 1, 3]
"Coloring", {2, 3}
Delta Rank with R :
2
vs
2
Natural Ranking, 2
vs
2
"index is"
2
2
vs
2
Delta Rank with B :
2
vs
2
Natural Ranking, 2
vs
2
"index is"
2
2
vs
2
---> SYNC'D
` See graph `
6
.
[1, -1, 1, -1]
"R", [4, 4, 1, 3]
"B", [3, 3, 4, 2]
"Coloring", {2, 4}
Delta Rank with R :
1
vs
3
Natural Ranking, 3
vs
3
"index is"
3
1
vs
3
Delta Rank with B :
1
vs
3
Natural Ranking, 3
vs
3
"index is"
3
1
vs
3
"R has hi rank 3 {{1, 3, 4}}"
"B has hi rank 3 {{2, 3, 4}}"
` See graph `
7
.
[1, 1, -1, -1]
"R", [4, 3, 4, 3]
"B", [3, 4, 1, 2]
"Coloring", {3, 4}
Delta Rank with R :
1
vs
2
Natural Ranking, 1
vs
2
"index is"
2
1
vs
2
Delta Rank with B :
2
vs
4
Natural Ranking, 1
vs
4
"index is"
2
2
vs
4
"B has hi-est rank 4 {{1, 3}, {2, 4}}"
` See graph `
8
.
[1, -1, -1, -1]
"R", [4, 4, 4, 3]
"B", [3, 3, 1, 2]
"Coloring", {2, 3, 4}
Delta Rank with R :
2
vs
2
Natural Ranking, 2
vs
2
"index is"
2
2
vs
2
Delta Rank with B :
3
vs
3
Natural Ranking, 2
vs
3
"index is"
2
2
vs
2
---> SYNC'D
` See graph `
| SUMMARY |
|---|
| Graph Type |
| CC |
|---|
| ν(A) |
|
1
|
|---|
| ν(Δ) |
|
1
|
|---|
| π |
|
[1, 1, 2, 2]
|
|---|
| Dbly Stoch |
| false |
|---|
| SANDWICH |
| Total
0
|
|---|
| No . | Coloring | Rank |
|---|
| RT GROUPS |
| Total
0
|
|---|
| No . | Coloring | Rank | Solv |
|---|
| RANK'D | SYNC'D NOT RANK'D |
tau-RANK'D | NOT SYNC'D |
Total Runs | 2n-1 |
|---|
|
0
|
0
|
5
|
0
|
7
|
8
|